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SageMath
E = EllipticCurve("ik1")
E.isogeny_class()
Elliptic curves in class 84672.ik
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 84672.ik1 | 84672bs1 | \([0, 0, 0, 2646, -18522]\) | \(1536\) | \(-1333834713792\) | \([]\) | \(108864\) | \(1.0155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672.ik1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84672.ik do not have complex multiplication.Modular form 84672.2.a.ik
sage: E.q_eigenform(10)